1035053031040 has 128 divisors (see below), whose sum is σ = 2828296310400. Its totient is φ = 354827194368.

The previous prime is 1035053031037. The next prime is 1035053031049. The reversal of 1035053031040 is 401303505301.

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 1035053030996 and 1035053031014.

It is not an unprimeable number, because it can be changed into a prime (1035053031049) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53154426 + ... + 53173894.

It is an arithmetic number, because the mean of its divisors is an integer number (22096064925).

Almost surely, 2^{1035053031040} is an apocalyptic number.

1035053031040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1035053031040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1414148155200).

1035053031040 is an abundant number, since it is smaller than the sum of its proper divisors (1793243279360).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1035053031040 is a wasteful number, since it uses less digits than its factorization.

1035053031040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31362 (or 31350 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 25.

Adding to 1035053031040 its reverse (401303505301), we get a palindrome (1436356536341).

The spelling of 1035053031040 in words is "one trillion, thirty-five billion, fifty-three million, thirty-one thousand, forty".